A042175 Denominators of continued fraction convergents to sqrt(612).

1, 1, 3, 4, 19, 23, 65, 88, 4289, 4377, 13043, 17420, 82723, 100143, 283009, 383152, 18674305, 19057457, 56789219, 75846676, 360175923, 436022599, 1232221121, 1668243720, 81307919681, 82976163401, 247260246483, 330236409884, 1568205886019, 1898442295903

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 4354, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^2 - x - 1)*(x^4 + 4*x^2 + 1)*(x^8 + 22*x^4 + 1) / ((x^4 - 8*x^2 - 1)*(x^4 + 8*x^2 - 1)*(x^8 + 66*x^4 + 1)). - Colin Barker, Dec 03 2013

Mathematica

Denominator[Convergents[Sqrt[612], 30]] (* Vincenzo Librandi, Jan 16 2014 *)

Crossrefs

Cf. A042174, A040587.

Sequence in context: A248590 A143150 A100340 * A041703 A036253 A212113

Adjacent sequences: A042172 A042173 A042174 * A042176 A042177 A042178

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 03 2013

Status

approved